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An $O\big((5/3)^n\mathrm{poly}(n)\big)$ One-Sided Monte Carlo Algorithm for Equal Subset Sum

Ye, Lixi
arXiv (All) · Papers
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data-structures-and-algorithms
We give a randomised algorithm for Equal Subset Sum that, on $n$ arbitrary integers of at most $m\le2^n$ bits, runs in time $O\big((5/3)^n\mathrm{poly}(n)+n^2m\big)$, never outputs a non-solution, and outputs a solution with probability $1-2^{-Ω(n)}$ whenever one exists.
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